
Hence, from Lemma REF  and equation (REF ) we can deduce local convergence in a neighborhood around \(\bar{z}\)  if the errors in the Hessian- and tailored Jacobian approximations are sufficiently small. As only the latter is essential to our method, we focus on the Jacobian difference induced by the tailored Jacobian approximation; see e.g. [1]} for a discussion of the Hessian approximation's role in SQP methods.
